Bogoliubov coefficients for the twist operator in the D1D5 CFT

Abstract

The D1D5 CFT is a holographic dual of a near-extremal black hole in string theory. The interaction in this theory involves a twist operator which joins together different copies of a free CFT. Given a large number of D1 and D5 branes, the effective length of the circle on which the CFT lives is very large. We develop a technique to study the effect of the twist operator in the limit where the wavelengths of excitations are short compared to this effective length, which we call the 'continuum limit'. The method uses Bogoliubov coefficients to compute the effect of the twist operator in this limit. For bosonic fields, we use the method to reproduce recent results describing the effect of the twist operator when it links together CFT copies with windings M and N, producing a copy of winding M+N. We also comment on possible generalizations of our results. The methods developed here may help in understanding the twist interaction at higher orders. This in turn should provide insight into the thermalization process in the D1D5 CFT, which gives a holographic description of black hole formation.

51 pages, 2 figures

References in corpus (5)

• The fuzzball proposal for black holes
• Black Holes as Effective Geometries
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• Effect of the twist operator in the D1D5 CFT
• Intertwining Relations for the Deformed D1D5 CFT

Cited by in corpus (8)

• Effect of the deformation operator in the D1D5 CFT
• Analyzing the squeezed state generated by a twist deformation
• A model with no firewall
• Fractional Conformal Descendants and Correlators in General 2D $S_N$ Orbifold CFTs at Large $N$
• Dynamical evolution in the D1D5 CFT
• Bootstrapping the effect of the twist operator in symmetric orbifold CFTs
• Larger Twists and Higher $n$-Point Functions with Fractional Conformal Descendants in $S_N$ Orbifold CFTs at Large $N$
• Pulsating strings from two dimensional CFT on $(T^4{)}^N/S(N)$